Show is supposed to overlay all the plots. (If this is not what you want, look at Grid, GraphicsGrid, TableForm, etc.) Is there some problem with how the overlay is occurring?
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whuberJan 10 '13 at 15:00

In @Nasser's answer, one could directly use the built-in function RandomComplex:

poles = RandomComplex[{-100 - 100 I, 100 + 100 I}, {12, 3}];

And then, since you want to plot complex numbers and, except for graphics, Mathematica "prefers" complex number to reals, it seems silly to have to program complex things in terms of real and imaginary parts. This is where David Park's Presentations add-on ( http://home.comcast.net/~djmpark/DrawGraphicsPage.html) can do the work for you:

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